There are (2^4)^2 ⋅ 2^0 books in a cupboard. What is the total number of books in the cupboard?
A. 2^2
B. 2^6
C. 2^8
D. 2^16

Respuesta :

Hey there!

First of all, we can get rid of that [tex]2 ^{0} [/tex]. Anyting to the power of 0 is equal to one.

Now, we can apply our rule of a power to a power which states that:

[tex] (x^{a})^y = x^{ay} [/tex]

Therefore, since we have two to the fourth raised to the second power, we just multiply the powers to get [tex]2^8[/tex], or C.

Hope this helps!